5 ( 1.2 k + 6 ) = 7.1 k + 34.4 5 × 1.2 k + 5 × 6 = 7.1 k + 34.4 6 k + 30 = 7.1 k + 34.4 ∣ s u b t r a c t 30 f ro m b o t h s i d es 6 k = 7.1 k + 4.4 ∣ s u b t r a c t 7.1 k f ro m b o t h s i d es − 1.1 k = 4.4 ∣ d i v i d e b o t h s i d es b y ( − 1.1 ) k = − 4
5 ( 1.2 k + 6 ) = 7.1 k + 34.4 6 k + 30 = 7.1 k + 34.4 6 k − 7.1 k = 34.4 − 30 − 1.1 k = 4.4 k = − 1.1 4.4 = − 4
To solve the equation 5 ( 1.2 k + 6 ) = 7.1 k + 34.4 , we distribute, isolate k, and simplify, ultimately finding k = − 4 . This process involves basic algebraic manipulation including distribution, subtraction, and division. The final solution is k = − 4 .
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